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Finding the Third Proportional to 622,271.25 and 851,610.75

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Solution

The third proportional to 622,271.25 and 851,610.75 is: 1,165,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,271.25 : 851,610.75 = 851,610.75 : x
  2. Step 2: Convert to fraction form
    622,271.25/851,610.75 = 851,610.75/x
  3. Step 3: Cross multiply
    622,271.25x = 851,610.75 × 851,610.75
  4. Step 4: Simplify right side
    622,271.25x = 725,240,869,515.56
  5. Step 5: Solve for x
    x = 725,240,869,515.56/622,271.25
  6. Step 6: Final answer
    x = 1,165,473.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.